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Finding the Fourth Proportional to 993.71, 1,490.69 and 577.43

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Solution

The fourth proportional to 993.71, 1,490.69 and 577.43 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.71 : 1,490.69 = 577.43 : x
  2. Step 2: Convert to fraction form
    993.71/1,490.69 = 577.43/x
  3. Step 3: Cross multiply
    993.71x = 1,490.69 × 577.43
  4. Step 4: Simplify right side
    993.71x = 860,769.13
  5. Step 5: Solve for x
    x = 860,769.13/993.71
  6. Step 6: Final answer
    x = 866.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.